Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

23rd September 2017

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 490 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 49.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 18 cm with an angle of 109° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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